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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
What is Ha?
Choice Answers:
1. The mean of group 1 is not the same as the mean of group 2
2. The mean of group 1 is the same as the mean of group 2
3. The number of errors for 8 hours sleep deprivation is different than the number of errors for 24 hours sleep deprivation
4. The number of errors for 8 hours sleep deprivation is equal to the number of errors for 24 hours sleep deprivation
5. The number of errors for 8 hours sleep deprivation is not different than the number of errors for 24 hours sleep deprivation
6. The number of errors for 8 hours sleep deprivation is not equal to the number of errors for 24 hours sleep deprivation
7. The number of errors for 8 hours sleep deprivation is not the same as the number of errors for 24 hours sleep deprivation
8. The number of errors for 8 hours sleep deprivation is the same as the number of errors for 24 hours sleep deprivation

Transcribed Image Text:### Paired Samples Analysis
#### Paired Samples Statistics
This section presents the statistics for errors made after different durations of sleep deprivation:
- **Errors after 8 hours sleep deprivation**:
- Mean = 6.75
- Sample Size (N) = 20
- Standard Deviation = 2.124
- Standard Error Mean = 0.475
- **Errors after 24 hours sleep deprivation**:
- Mean = 13.90
- Sample Size (N) = 20
- Standard Deviation = 2.024
- Standard Error Mean = 0.452
#### Paired Samples Correlations
This analysis shows the correlation between errors after 8 hours and 24 hours of sleep deprivation:
- **Correlation (r) = -0.263**
- Sample Size (N) = 20
- Significance (One-Sided p) = 0.131
- Significance (Two-Sided p) = 0.262
A negative correlation indicates an inverse relationship, but it is not statistically significant.
#### Paired Samples Test
This test compares the mean difference of errors between the two conditions:
- **Mean of Differences = -7.150**
- Standard Deviation of Differences = 3.297
- Standard Error Mean = 0.737
- 95% Confidence Interval of the Difference: Lower = -8.693, Upper = -5.607
- **t-value** = -9.698
- Degrees of Freedom (df) = 19
- Significance:
- One-Sided p < 0.001
- Two-Sided p < 0.001
The results indicate a highly significant difference in the number of errors, with fewer errors after 8 hours of sleep deprivation compared to 24 hours.
#### Paired Samples Effect Sizes
This section provides the effect sizes with two metrics:
- **Cohen's d**:
- Standardizer = 3.297
- Point Estimate = -2.169
- 95% Confidence Interval: Lower = -2.972, Upper = -1.348
- **Hedges' correction**:
- Standardizer = 3.364
- Point Estimate = -2.125
- 95% Confidence Interval: Lower = -2.913, Upper = -1.321
C
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